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Finding the Fourth Proportional to 357.09, 535.31 and 140.50

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Solution

The fourth proportional to 357.09, 535.31 and 140.50 is: 210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.09 : 535.31 = 140.50 : x
  2. Step 2: Convert to fraction form
    357.09/535.31 = 140.50/x
  3. Step 3: Cross multiply
    357.09x = 535.31 × 140.50
  4. Step 4: Simplify right side
    357.09x = 75,211.06
  5. Step 5: Solve for x
    x = 75,211.06/357.09
  6. Step 6: Final answer
    x = 210.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.